import numpy as np

P = np.array(
	[ [1/6, 1/6, 1/6, 1/6, 1/6, 0]
	, [1/6, 1/6, 1/6, 1/6, 1/6, 0]
	, [1/6, 1/6, 1/6, 1/6, 1/6, 0]
	, [1/6, 1/6, 1/6, 1/6, 1/6, 0]
	, [1/6, 1/6, 1/6, 1/6, 1/6, 1/10]
	, [1/6, 1/6, 1/6, 1/6, 1/6, 9/10]])
print(P.shape)

v = np.array([0, 1, 0, 0, 0, 0])
w = np.dot(np.linalg.matrix_power(P, 4), v)
print(w)
print(w[-1])